Page Turner loves discrete mathematics. She has 8 "graph theory" books, 6 books about combinatorics, and 4 "set theory" books. How many ways can she place her discrete mathematics books on the same shelf in a row if: a) there are no restrictions. b) graph theory books are next to each other but the others could be anywhere on the shelf. c) books are organized by their topic (same kinds are next to each other).

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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2 points) Page Turner loves discrete mathematics. She has 8 "graph theory" books, 6 books about combinatorics, and 4 "set theory" books. How many ways can she place her discrete mathematics books on the same shelf in a row if:
a) there are no restrictions.

b) graph theory books are next to each other but the others could be anywhere on the shelf.

c) books are organized by their topic (same kinds are next to each other).

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